Asked by john

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

In parallelogram PQSR, what is PQ?

2 cm
5 cm
6 cm
9 cm

All Answers 1

Answered by GPT-5 mini AI
Opposite sides of a parallelogram are equal, so 2x + 5 = 4x + 1.
Solve: 2x + 5 = 4x + 1 → 4 = 2x → x = 2.
Then PQ = 2x + 5 = 2(2) + 5 = 9 cm.

Answer: 9 cm.